2010015605

SubArea: 
Metric properties
Level: 
A
Project ID: 
2010015605
Source Problem: 
1103055801
Accepted: 
0
Clonable: 
1
Easy: 
0
The rectangular box \( ABCDA'B'C'D' \) has edges of lengths \( |AB|=6\,\mathrm{cm} \) and \( |BC|=8\,\mathrm{cm} \). The point \(S\) is the center of the base \(ABCD\) (see the picture) and the length of the line segment \(A'S\) is \(13\,\mathrm{cm}\). Find the distance between the points \(A\) and \(A'\).
\( 12\,\mathrm{cm} \)
\( \sqrt{194}\,\mathrm{cm} \)
\( \sqrt{69}\,\mathrm{cm} \)
\( 4\sqrt{10}\,\mathrm{cm} \)